Q383
If x = 2 - p, then x3 + 6xp + p3 is equal to:
A.
12
B.
6
C.
8
AnswerD.
4
Answer: Option C
Solution
Answer: Option C
Solution:
x = 2 - px + p = 2
Cube both side
(x + p)3 = 23
x3 + p3 + 3xp(x + p) = 8
x3 + p3 + 2xp × 2 = 8
x3 + 6xp + p3 = 8